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Finding the Fourth Proportional to 1,070.34, 1,605.42 and 300.84

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Solution

The fourth proportional to 1,070.34, 1,605.42 and 300.84 is: 451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.34 : 1,605.42 = 300.84 : x
  2. Step 2: Convert to fraction form
    1,070.34/1,605.42 = 300.84/x
  3. Step 3: Cross multiply
    1,070.34x = 1,605.42 × 300.84
  4. Step 4: Simplify right side
    1,070.34x = 482,974.55
  5. Step 5: Solve for x
    x = 482,974.55/1,070.34
  6. Step 6: Final answer
    x = 451.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.